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Popular >

f(x)=(x^3+7x^2-5x+4)/(x^2)

Solution

f (x) = \frac{x ^{3} + 7 x ^{2} - 5 x + 4}{x ^{2}}

Solution

Domain : x < 0 or x > 0

Range : - \infty < f (x) < \infty

X Intercepts : (- 7.71526 \dots, 0)

Asymptotes : Vertical x = 0, Slant y = x + 7

Extreme Points : Minimum (1.22886 \dots, 6.80888 \dots)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3} + 7 x ^{2} - 5 x + 4}{x ^{2}} : x < 0 or x > 0

Range of

\frac{x ^{3} + 7 x ^{2} - 5 x + 4}{x ^{2}} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3} + 7 x ^{2} - 5 x + 4}{x ^{2}} :

X Intercepts

: (- 7.71526 \dots, 0)

Asymptotes of

\frac{x ^{3} + 7 x ^{2} - 5 x + 4}{x ^{2}} :

Vertical

: x = 0,

Slant

: y = x + 7

Extreme Points of

\frac{x ^{3} + 7 x ^{2} - 5 x + 4}{x ^{2}} :

Minimum

(1.22886 \dots, 6.80888 \dots)

Popular Examples

y=cos(x+pi/2)+1

y = cos (x + \frac{π}{2}) + 1

f(x)=(x+8)/(x^2+64)

f (x) = \frac{x + 8}{x ^{2} + 64}

f(x)=arccos(sqrt(-4x^2+5))

f (x) = arccos (- 4 x^{2} + 5)

f (5) = x + 1

f(x)=3x^2+24x+4

f (x) = 3 x^{2} + 24 x + 4

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3+7x^2-5x+4)/(x^2) ?
The f(x)=(x^3+7x^2-5x+4)/(x^2) is